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Generalized Homogeneity In Systems And Control eBook

by Andrey Polyakov
language: english
Publisher: Springer International Publishing, February of 2020 ‧
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This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces.  It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include:

  • mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces;
  • the theory of linear dilations in Banach spaces;
  • homogeneous control and estimation;
  • simple methods for an "upgrade" of existing linear control laws;
  • numerical schemes for a consistent digital implementation of homogeneous algorithms; and
  • experiments confirming an improvement of PID controllers.

    • The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.

    Generalized Homogeneity In Systems And Control

    by Andrey Polyakov

    Property Description
    ISBN: 9783030384494
    Publisher: Springer International Publishing
    Release Date: February of 2020
    Language: English
    Format: eBook
    File Format and Compatibility:
    Collection: Communications And Control Engineering
    Categories: eBooks in English > Computing > Operating Systems and Networks
    EAN: 9783030384494
    Acessibilidade: Ver características de acessibilidade indicadas pelo editor

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